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Textbook wisdom says that competition yields lower prices and higher consumer surplus than monopoly. We show in two versions of a simple location-product differentiation model with and without endogenous choice of products that these two results have to be qualified. In both models, more than half of the reasonable parameter values lead to higher prices with duopoly than with monopoly. If the product characteristics are exogenous to the firms, consumers may even be be better off with monopoly in average.
Instability in competition
(2005)
In this paper we show that Puu (2002) does not provide a stable solution to the location game, according to his own definition of stability. If the usual two-stage game is considered, where in the first stage a location is chosen once and forever, and in the second stage prices are determined, the equilibrium proves stable for a sizeable interval of parameters, however. Even though this procedure is most common in analyzing Hotelling's location problem, it is not satisfying because it exhibits an inconsistent informational structure. The search for a better concept of stability is imperative.